Complexity in dislocation dynamics: model
Abstract
We propose a numerical model to study the viscoplastic deformation of ice single crystals. We consider long-range elastic interactions among dislocations, the possibility of mutual annihilation, and a multiplication mechanism representing the activation of Frank-Read sources due to dislocation pinning. The overdamped equations of motion for a collection of dislocations are integrated numerically using different externally applied stresses. Using this approach we analyze the avalanche-like rearrangements of dislocations during the dynamic evolution. We observe a power law distribution of avalanche sizes which we compare with acoustic emission experiments in ice single crystals under creep deformation. We emphasize the connections of our model with non-equilibrium phase transitions and critical phenomena.
Cite
@article{arxiv.cond-mat/0105035,
title = {Complexity in dislocation dynamics: model},
author = {M. -Carmen Miguel and Alessandro Vespignani and Stefano Zapperi and Jerome Weiss and Jean-Robert Grasso},
journal= {arXiv preprint arXiv:cond-mat/0105035},
year = {2007}
}